UK Year 12 Mathematics (AS)

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UK Year 12 Mathematics (AS)

Y12

Linear Equations

Solving Linear Equations (0)

Horizontal Line Equations (0)

Vertical Line Equations (0)

Parallel Line Equations (0)

Perpendicular Line Equations (0)

Parallel and Perpendicular Line Equations (0)

Absolute Value Equations (0)

Graphing Solutions To Absolute Value Equations (0)

Word Problems on Linear Equations (0)

Linear Inequalities

Solving Linear Inequalities (0)

Graph of Linear Inequalities (0)

One-step Linear Inequalities (0)

Two-step Linear Inequalities (0)

Compound Linear Inequalities (0)

Absolute Value Inequalities (0)

Graphing Solutions To Absolute Value Inequalities (0)

Quadratic Inequalities (0)

Word Problems on Linear Inequalities (0)

Introduction to Linear Programming (0)

Linear Functions

Relationship Between Two Variables (1)

Domain and Range (0)

Identifying Functions (0)

Evaluating Functions (0)

Completing a Table from a Graph of Linear Function (0)

Linear Functions in Standard Form (1)

Parallel and Perpendicular Lines Linear Functions (1)

Absolute Value Functions (0)

Graphing Solutions To Absolute Value Functions (0)

Linear Functions in Point-gradient Form (0)

Word Problems on Linear Functions (0)

Simultaneous Equations

Identifying Simultaneous Equations (0)

Solving Simultaneous Equations by Graphing (0)

Solving Simultaneous Equations by Elimination (7)

Solving Simultaneous Equations by Substitution (2)

Non-linear Simultaneous Equations (0)

Word Problems on Simultaneous Equations (8)

Polynomials

Introduction to Polynomials (12)

Adding and Subtracting Polynomials (0)

Multiplying and Dividing Polynomials (1)

Polynomial Equations (0)

The Remainder Theorem (0)

The Factor Theorem (0)

The Rational Zero Theorem (0)

Polynomial Graphs (1)

Multiplicities of Polynomials (0)

Imaginary Zeros of Polynomials (0)

Equation of a Polynomial Function (0)

Applications of Polynomials (0)

Polynomial Inequalities (0)

Solving Polynomials by Iteration (0)

The Fundamental Theorem of Algebra (0)

Descartes' Rule of Sign (0)

Pascal's Triangle (0)

Binomial Theorem (20)

Complex Numbers

Introduction to Complex Numbers (94)

Classification of Complex Numbers (0)

Adding and Subtracting Complex Numbers (1)

Complex Number Conjugates (16)

Multiplying and Dividing Complex Numbers (1)

The Absolute Value of a Complex Number (0)

Complex Numbers and Powers of i (0)

Surds

Simplification of Surds (16)

Adding and Subtracting Surds (2)

Multiplying and Dividing Surds (2)

Entire Radicals and Mixed Radicals (9)

Radical Equations (26)

Laws of Indices

Powers or Indices (66)

Multiplying Indices (2)

Dividing Indices (0)

Power to a Power (1)

The Power of Zero (0)

Negative Indices (0)

Fractional Indices (6)

Standard Form (0)

Solve for Exponents (0)

Radical and Rational Exponents (0)

Algebraic Fractions

Simplifying Algebraic Fractions (0)

Adding and Substracting Algebraic Fractions (0)

Multiplying and Dividing Algebraic Fractions (0)

Equations With Algebraic Fractions (0)

Applications of Equations With Algebraic Fractions (0)

Complex Fractions (0)

Partial Fraction Decomposition (0)

Functions

Introduction to Functions (38)

Evaluate a Function (3)

Operations With Functions (0)

Adding and Substracting Functions (0)

Multiplying and Dividing Functions (0)

Domain and Range of a Function (16)

Graph of a Function (40)

Function Notation (0)

Gradient of a Function (1)

Absolute Value Function (78)

Composite Functions (0)

Inverse Functions (0)

Difference Quotient (0)

Applications of Functions (0)

Function Transformations

Horizontal Transformations (0)

Vertical Transformations (0)

Reflections Across the x-axis (0)

Reflections Across the y-axis (0)

Horizontal Stretch/Shrink of a Function (0)

Vertical Stretch/Shrink of a Function (0)

Combining Function Transformations (0)

Even and Odd Functions (0)

Advanced Functions

Reciprocal Functions (0)

Graphing a Linear Reciprocal Function (0)

Graphing a Quadratic Reciprocal Function (0)

Exponential Functions (0)

Graphing Exponential Functions (0)

Graphing Exponential Functions using Transformations (0)

Finding an Exponential Function with a given Graph (0)

Logarithmic Functions

Introduction to Logarithmic Functions (0)

Converting from Logarithmic to Exponential Form (0)

Evaluating Logarithms (0)

Evaluating Logarithms using Change-of-base Formula (0)

Converting from Exponential to Logarithmic Form (0)

Decadic Logarithm (0)

Natural Logarithm (0)

Product Rule for Logarithms (0)

Quotient Rule for Logarithms (0)

Power Rule for Logarithms (0)

Change of Base Rule for Logarithms (0)

Evaluating Logarithms with Logarithm Rules (0)

Logarithmic Equations (43)

Graph of Logarithmic Functions (7)

Find a Logarithmic Function from a Graph (0)

Exponential and Logarithmic Functions

Domain and Range of Exponential and Logarithmic Functions (1)

Evaluating Exponential Functions (1)

Solving Exponential Equations by Factorisation (0)

Solving Exponential Equations Using Logarithms (0)

Exponential Function for Growth over Different Time Intervals (1)

Logarithmic Equations (5)

Logarithmic pH Scale (0)

Logarithmic dB Scale (0)

Exponential Growth and Decay (0)

Compound Interest (0)

Future and Present Value (0)

Parabolas

Introduction to Parabola (16)

Direction of a Parabola (0)

Vertex of a Parabola (0)

Focus of a Parabola (3)

Axis of Symmetry of a Parabola (0)

Finding Equations of a Parabola (5)

Graph of a Parabola (5)

Circle Theorems

Angles in a Circle (7)

Chord of a Circle (0)

Tangent of a Circle (0)

Circumference of a Circle (0)

Arc of a Circle (0)

Area and Sector Area of a Circle (27)

Inscribed Quadrilateral in a Circle (0)

Inscribed Angles in a Circle (1)

Circles in the Coordinate Plane (42)

Graphing a Circle (0)

Finding the Equation of a Circle (0)

Points of a Circle (0)

Trigonometry

Trigonometric Ratios Sine, Cosine and Tangent (45)

The Converse of the Pythagorean Theorem (0)

Special Right Triangles (0)

Reciprocal Trigonometric Ratios Cosecant, Secant and Cotangent (0)

The Sine Rule (0)

The Cosine Rule (0)

Word Problems on Sine and Cosine Rule (0)

Area of a Triangle Sine Rule (0)

Converting Degrees to Radians (0)

Trigonometric Ratios of an Angle (Radians) (0)

Trigonometric Graphs (40)

Bearings (0)

Bearings and Direction (0)

Angles of Elevation and Depression (0)

Trigonometric Functions

Graph of Sine: y = sin(x) (0)

Graph of Cosine: y = cos(x) (0)

Graph of Tangent: y = tan(x) (0)

Graph of Cotangent: y = cot(x) (0)

Graph of Secant: y = sec(x) (0)

Graph of Cosecant: y = csc(x) (0)

Graphing Trigonometric Functions Transformations (0)

Finding Trigonometric Functions from a Graph (0)

Trigonometric Identities

Reciprocal Identities (0)

Pythagorean Identities (0)

Ratio Identities (0)

Opposite Angle Identities (0)

Complementary Angles Identities (0)

Angle Sum and Difference Identities (6)

Triangle Identities (22)

Problems on Trigonometric Identities (0)

Sequences and Series

Arithmetic Sequences (17)

Arithmetic Series (0)

Recursive Sequences (1)

Nth Term (2)

Geometric Sequences (8)

Geometric Series (1)

Infinite Geometric Series (61)

Sigma Notation (0)

Arithmetic and Geometric mean (0)

Partial Sums (0)

Convergent and Divergent Geometric Series (34)

Converting Repeating Decimals to Fractions (0)

Annuity (3)

Probability

Probability of Events (0)

Theoretical and Experimental Probability (0)

Probability of Independent and Dependent Events (0)

Probability of Compound Events (0)

Relative Frequency (0)

Tree Diagrams (0)

Addition and Product Rule (0)

Permutations and Combinations (32)

Factorial Notation (0)

Permutations (31)

Combinations (9)

Pascal's Triangle (0)

Binomial Theorem (0)

Statistics

Mean Median Mode and Range (0)

Quartiles (9)

Identifying Bias in Samples (0)

Mean Absolute Deviation (MAD) (0)

Standard Deviation and Variance (0)

Data and Graphs (0)

Frequency Tables (0)

Bar Charts (0)

Pictograms (0)

Pie Charts (0)

Histogram (0)

Scatter Plots (0)

Scatter Plots: Line of Best Fit (0)

Cumulative Frequency (0)

Time Series (0)

Stem and Leaf Plots (0)

Box and Whisker Plots (8)

Limits

Evaluating Limits from a Graph (0)

Identifying When Limits Do Not Exist (0)

Continuity (0)

Finding Limits by Direct Substitution (22)

Limits at Infinity and Vertical Asymptotes (26)

Limits at Infinity and Horizontal Asymptotes (0)

The Intermediate Value Theorem (IVT) (0)

The Squeeze theorem (0)

Derivatives

Introduction to Derivatives (17)

Rate of Change (2)

Instantaneous Rates of Change (0)

Velocity as a Rate of Change (0)

The Power Rule For Derivatives (0)

Finding the Equation of a Tangent Line with Derivatives (96)

The Chain Rule For Derivatives (23)

The Product Rule For Derivatives (10)

The Quotient Rule For Derivatives (14)

Derivatives of Trigonometric Functions (0)

Derivatives of Exponential Functions (2)

Derivatives of Inverse Trigonometric Functions (5)

Derivatives of Logarithmic Functions (0)

Higher Order Derivatives (1)

Critical Points (19)